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2 years ago

A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times. How

Mathematics

1 answer:

nekit [7.7K]2 years ago

7 0

Answer:

The frequency is 3 more than expected.

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Find dy/dx given that y = sin x / 1 + cos x

kobusy [5.1K]

Answer:

$\frac{1}{1 + \cos(x) }$

Step-by-step explanation:

$y = \frac{ \sin(x) }{1 + \cos(x) }$

differentiating numerator wrt x :-

(sinx)' = cos x

differentiating denominator wrt x :- 

(1 + cos x)' = (cosx)' = - sinx

Let's say the denominator was "v" and the numerator was "u"

$(\frac{u}{v} )' = \frac{v. \: (u)' - u.(v)' }{ {v}^{2} }$

here,

since u is the numerator u= sinx and u = cos x
v(denominator) = 1 + cos x; v' = - sinx

$= \frac{((1 + \cos \: x) \cos \: x )- (\sin \: x. ( - \sin \: x) ) }{( {1 + \cos(x)) }^{2} }$

$= \frac{ \cos(x) + \cos {}^{2} (x) + \sin {}^{2} (x) }{(1 + \cos \: x) {}^{2} }$

since cos²x + sin²x = 1

$= \frac{ \cos \: x + 1}{(1 + \cos \: x) {}^{2} }$

diving numerator and denominator by 1 + cos x

$= \frac{1}{1 + \cos(x) }$

6 0

2 years ago

Find the value of 2x+8y when X= -5 and y=6

Y_Kistochka [10]

Answer:

Step-by-step explanation:

Substitute the x in the expression with a -5 and substitute the y in the expression with a 6

2(-5)+8(6)

-10+40

3 0

2 years ago

PLEASE ANSWER ASAP!

Blizzard [7]

Step-by-step explanation:

Let the length of the bridge be x

Since, triangles ADF and BCF are similar, ratio of their corresponding sides are equal.

Therefore,

60 / 144 = 40 / x

X (length of the bridge) = 96 m

4 0

2 years ago

- Ms. Ali needs to have her car repaired but does not want to spend more than $225

Alika [10]

Answer:

Step-by-step explanation:

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1 year ago

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Which is the graph of g(x) = (x + 3?

Rasek [7]

Answer:

second graph

Step-by-step explanation:

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2 years ago